Research Institute For Advanced Studies
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Research Institute For Advanced Studies
The Baltimore-based Research Institute for Advanced Studies (RIAS), not to be confused with the better-known Institute for Advanced Study in Princeton, New Jersey, was among the several centers for research in the mathematical and physical sciences established throughout the United States after World War II. In recognition of the critical role that fundamental scientific research played in the outcome of that war. Although not as well known as other similar institutes, such as the IAS mentioned above, or the RAND Corporation, it nevertheless made significant contributions to the sciences of systems and control theory, and various branches of mathematics, during its 18-year existence. The Research Institute for Advanced Studies (sometimes referred to in the singular) was founded in 1955 by George Bunker of the Glenn L. Martin Company, the ancestor of the aerospace giant Lockheed Martin. Its founding was the idea of George Bunker, who took over from Glenn Martin as chairman of that ...
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Martin Marietta Corporation
The Martin Marietta Corporation was an American company founded in 1961 through the merger of Glenn L. Martin Company and American-Marietta Corporation. In 1995, it merged with Lockheed Corporation to form Lockheed Martin. History Martin Marietta formed in 1961 by the merger of the Glenn L. Martin Company and American-Marietta Corporation. Martin, based in Baltimore, was primarily an aerospace concern with a recent focus on missiles, namely its Titan (rocket family), Titan program. American-Marietta was headquartered in Chicago and produced paints, dyes, metallurgical products, construction materials, and other goods. In 1982, Martin Marietta was subject to a hostile takeover bid by the Bendix Corporation, headed by William Agee. Bendix bought the majority of Martin Marietta shares and in effect owned the company. However, Martin Marietta's management used the short time separating ownership and control to sell non-core businesses and launch its own hostile takeover of Bendix ...
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Baltimore
Baltimore ( , locally: or ) is the most populous city in the U.S. state of Maryland, fourth most populous city in the Mid-Atlantic, and the 30th most populous city in the United States with a population of 585,708 in 2020. Baltimore was designated an independent city by the Constitution of Maryland in 1851, and today is the most populous independent city in the United States. As of 2021, the population of the Baltimore metropolitan area was estimated to be 2,838,327, making it the 20th largest metropolitan area in the country. Baltimore is located about north northeast of Washington, D.C., making it a principal city in the Washington–Baltimore combined statistical area (CSA), the third-largest CSA in the nation, with a 2021 estimated population of 9,946,526. Prior to European colonization, the Baltimore region was used as hunting grounds by the Susquehannock Native Americans, who were primarily settled further northwest than where the city was later built. Colonist ...
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Martin Marietta
The Martin Marietta Corporation was an American company founded in 1961 through the merger of Glenn L. Martin Company and American-Marietta Corporation. In 1995, it merged with Lockheed Corporation to form Lockheed Martin. History Martin Marietta formed in 1961 by the merger of the Glenn L. Martin Company and American-Marietta Corporation. Martin, based in Baltimore, was primarily an aerospace concern with a recent focus on missiles, namely its Titan program. American-Marietta was headquartered in Chicago and produced paints, dyes, metallurgical products, construction materials, and other goods. In 1982, Martin Marietta was subject to a hostile takeover bid by the Bendix Corporation, headed by William Agee. Bendix bought the majority of Martin Marietta shares and in effect owned the company. However, Martin Marietta's management used the short time separating ownership and control to sell non-core businesses and launch its own hostile takeover of Bendix (known as the Pac-Ma ...
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Delay Differential Equation
In mathematics, delay differential equations (DDEs) are a type of differential equation in which the derivative of the unknown function at a certain time is given in terms of the values of the function at previous times. DDEs are also called time-delay systems, systems with aftereffect or dead-time, hereditary systems, equations with deviating argument, or differential-difference equations. They belong to the class of systems with the functional state, i.e. partial differential equations (PDEs) which are infinite dimensional, as opposed to ordinary differential equations (ODEs) having a finite dimensional state vector. Four points may give a possible explanation of the popularity of DDEs: # Aftereffect is an applied problem: it is well known that, together with the increasing expectations of dynamic performances, engineers need their models to behave more like the real process. Many processes include aftereffect phenomena in their inner dynamics. In addition, actuators, sensors, ...
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Rod Driver
Rodney David Driver (July 1, 1932 – January 16, 2022) was a British-born American mathematician known for research on differential equations, and a former Democratic member of the Rhode Island House of Representatives. Between 1987 and 1995 he represented the towns of Richmond and Exeter in district 52. He was reelected on November 4, 2008, and represented the 39th District consisting of parts of Richmond, Exeter, and Charlestown from January 6, 2009, to January 4, 2011. Education and early career Driver was born in London, England, on July 1, 1932, to William and Marjorie Driver. Rod was a U.S. citizen from birth via his father's citizenship. He and his family lived in London during the Battle of Britain and The Blitz beginning in 1940 but were fortunate in surviving the bombardment and widespread destruction of the city during the war. Shortly after V-E Day in 1945, the Driver family was able to travel to the United States where they established residency in Minneapolis, Mi ...
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LaSalle's Invariance Principle
LaSalle's invariance principle (also known as the invariance principle, Barbashin-Krasovskii-LaSalle principle, or Krasovskii-LaSalle principle) is a criterion for the asymptotic stability of an autonomous (possibly nonlinear) dynamical system. Global version Suppose a system is represented as : \dot = f \left(\mathbf x \right) where \mathbf x is the vector of variables, with : f \left( \mathbf 0 \right) = \mathbf 0. If a C^1(see Smoothness) function V(\mathbf x) can be found such that : \dot(\mathbf x) \le 0 for all \mathbf x (negative semidefinite), then the set of accumulation points of any trajectory is contained in where is the union of complete trajectories contained entirely in the set \. If we additionally have that the function V is positive definite, i.e. : V( \mathbf x) > 0 , for all \mathbf x \neq \mathbf 0 : V( \mathbf 0) = 0 and if contains no trajectory of the system except the trivial trajectory \mathbf x(t) = \mathbf 0 for t \geq 0, th ...
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Kalman Filter
For statistics and control theory, Kalman filtering, also known as linear quadratic estimation (LQE), is an algorithm that uses a series of measurements observed over time, including statistical noise and other inaccuracies, and produces estimates of unknown variables that tend to be more accurate than those based on a single measurement alone, by estimating a joint probability distribution over the variables for each timeframe. The filter is named after Rudolf E. Kálmán, who was one of the primary developers of its theory. This digital filter is sometimes termed the ''Stratonovich–Kalman–Bucy filter'' because it is a special case of a more general, nonlinear filter developed somewhat earlier by the Soviet mathematician Ruslan Stratonovich. In fact, some of the special case linear filter's equations appeared in papers by Stratonovich that were published before summer 1960, when Kalman met with Stratonovich during a conference in Moscow. Kalman filtering has numerous tech ...
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Systems Theory
Systems theory is the interdisciplinary study of systems, i.e. cohesive groups of interrelated, interdependent components that can be natural or human-made. Every system has causal boundaries, is influenced by its context, defined by its structure, function and role, and expressed through its relations with other systems. A system is "more than the sum of its parts" by expressing synergy or emergent behavior. Changing one component of a system may affect other components or the whole system. It may be possible to predict these changes in patterns of behavior. For systems that learn and adapt, the growth and the degree of adaptation depend upon how well the system is engaged with its environment and other contexts influencing its organization. Some systems support other systems, maintaining the other system to prevent failure. The goals of systems theory are to model a system's dynamics, constraints, conditions, and relations; and to elucidate principles (such as purpose, measure ...
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Lockheed Martin
The Lockheed Martin Corporation is an American aerospace, arms, defense, information security, and technology corporation with worldwide interests. It was formed by the merger of Lockheed Corporation with Martin Marietta in March 1995. It is headquartered in North Bethesda, Maryland, in the Washington, D.C. area. Lockheed Martin employs approximately 115,000 employees worldwide, including about 60,000 engineers and scientists as of January 2022. Lockheed Martin is one of the largest companies in the aerospace, military support, security, and technologies industry. It is the world's largest defense contractor by revenue for fiscal year 2014.POC Top 20 Defence Contractors of 2014
. Retrieved: July 2015
In 2013, 78% of Lockheed Martin's revenues came from military sales;
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RAND Corporation
The RAND Corporation (from the phrase "research and development") is an American nonprofit global policy think tank created in 1948 by Douglas Aircraft Company to offer research and analysis to the United States Armed Forces. It is financed by the Federal government of the United States, U.S. government and private Financial endowment, endowment, corporations, university, universities and private individuals. The company assists other governments, international organizations, private companies and foundations with a host of defense and non-defense issues, including healthcare. RAND aims for interdisciplinary and quantitative problem solving by translating theory, theoretical concepts from formal economics and the Outline of physical science, physical sciences into novel applications in other areas, using applied science and operations research. Overview RAND has approximately 1,850 employees. Its American locations include: Santa Monica, California (headquarters); Arlington ...
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Institute For Advanced Study
The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholars, including J. Robert Oppenheimer, Albert Einstein, Hermann Weyl, John von Neumann, and Kurt Gödel, many of whom had emigrated from Europe to the United States. It was founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld. Despite collaborative ties and neighboring geographic location, the institute, being independent, has "no formal links" with Princeton University. The institute does not charge tuition or fees. Flexner's guiding principle in founding the institute was the pursuit of knowledge for its own sake.Jogalekar. The faculty have no classes to teach. There are no degree programs or experimental facilities at the institute. Research is never contracted or ...
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Walter Murray Wonham
Walter Murray Wonham (1934–2023) is a Canadian control theorist and professor at the University of Toronto. He dealt with multi-variable geometric control theory, stochastic control and stochastic filters, and more recently the control of discrete event systems from the standpoint of mathematical logic and formal languages. Education Wonham attended a boys’ school and preferred individual to team sports, taking up sailing and tennis. Wonham obtained his bachelor's degree in engineering physics from McGill University in 1956, and then a doctorate in stochastic control from the University of Cambridge in 1961. Career In the 1960s, he worked at Purdue University's Control and Information Systems Laboratory, Martin Marietta's Research Institute for Advanced Studies (RIAS) in Baltimore, Brown University's Department of Applied Mathematics, and in the Office for Control Theory and Applications of NASA's Electronics for Research Center, where he developed a geometric theory of ...
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