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Observability is a measure of how well internal states of a system can be inferred from knowledge of its external outputs. In control theory, the observability and controllability of a linear system are mathematical duals. The concept of observability was introduced by the Hungarian-American engineer Rudolf E. Kálmán for linear dynamic systems.
Controllability and observability are dual aspects of the same problem. Roughly, the concept of controllability denotes the ability to move a system around in its entire configuration space using only certain admissible manipulations. The exact definition varies slightly within the framework or the type of models applied.
Barabási has made significant contributions to the understanding of network controllability and observability, addressing the fundamental question of how large networks regulate and manage their own behavior. He was the first to apply the tools of control theory to network science, bridging disciplines that had traditionally been studied ...
Control theory diagram [1] Control theory in sociology is the idea that two control systems—inner controls and outer controls—work against our tendencies to deviate. Control theory can either be classified as centralized or decentralized. Decentralized control is considered market control. Centralized control is considered bureaucratic control.
In control theory, a Kalman decomposition provides a mathematical means to convert a representation of any linear time-invariant (LTI) control system to a form in which the system can be decomposed into a standard form which makes clear the observable and controllable components of the system.
In contrast to the frequency domain analysis of the classical control theory, modern control theory utilizes the time-domain state space representation, [citation needed] a mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations. To abstract from the number of inputs ...
In control theory, we may need to find out whether or not a system such as ˙ = + () = + is controllable, where , , and are, respectively, , , and matrices for a system with inputs, state variables and outputs.
Social development theory attempts to explain qualitative changes in the structure and framework of society, that help the society to better realize aims and objectives.. Development can be defined in a manner applicable to all societies at all historical periods as an upward ascending movement featuring greater levels of energy, efficiency, quality, productivity, complexity, comprehension ...