Engineering topics
Publications and source records attributed to Desoer, C. A..
Recently improved sufficient conditions for the Lp stability of multiple-input multiple-output linear time-invariant feedback systems are given. The continuous-time case is done in detail; the discrete-time case is outlined. Unstable open-loop systems with singular residue matrices are allowed.
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Survey of recent results obtained by the authors concerning certain types of multiinput, multioutput feedback systems. The discrete-time case as well as the continuous-time case are considered. In each case three theorems are shown. These give insight into the nature of the relationship between the open-loop operator and the closed-loop operator of the system, as well as necessary and sufficient conditions for stability of the closed-loop system when 'unstable' poles are present in their open-loop transfer function.
A continuous time, single input-single output, linear, time-invariant, distributed feedback system F sup epsilon, containing a small delay of length epsilon in the loop, is considered. Conditions are given under which L2-stability and L2-instability of this feedback system can be deduced from those of the reduced model obtained by neglecting the delay. The two system models associated with F sup epsilon are the low-frequency model F and the high frequency model F. The condition for neglecting the small delay is the L2-stability of the family of high-frequency models, where epsilon or = 0 is sufficiently small. A lemma and a theorem are given. The lemma gives sharp Nyquist-type conditions for the L2-stability and L2-instability of the family of high frequency models for sufficiently small epsilon or = 0, while the Theorem gives explicit conditions under which the small delay may or may not be neglected.
Input-output properties of feedback systems based on linear time invariate systems
Optimal characteristics for single-input single- output memoryless time invariant nonlinear dynamic systems
Stability of linear time invariant discrete systems including multiple poles
Linear time-invariant system dependent on small parameter epsilon, deriving conditions for bounded-input bounded-state stability
Nonlinear time varying discrete feedback systems input-output properties, deriving stability criteria by generalized small gain and passivity theorems
Linear discrete feedback systems uniqueness, existence and stability under various input-output conditions
Nonlinear time varying feedback control system stability applied to damped Mathieu equation
Correction to circuit theory textbooks concerning observable but not controllable modes and stability
Stability criteria for multiple input, multiple output discrete systems
Slowly varying discrete system of matrices
Circle criterion for stability of nonlinear time varying systems, considering integrator and infinite sequence of impulses in impulse response
Stability of linear time invariant systems with single input-output and loop
Multiple loop linear time invariant feedback systems stability, discussing conditions, gain matrix and input-output properties
Sufficient conditions for asymptotic stability in large for class of single loop feedback systems